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Finding the Fourth Proportional to 602.76, 902.52 and 480.72

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Solution

The fourth proportional to 602.76, 902.52 and 480.72 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 902.52 = 480.72 : x
  2. Step 2: Convert to fraction form
    602.76/902.52 = 480.72/x
  3. Step 3: Cross multiply
    602.76x = 902.52 × 480.72
  4. Step 4: Simplify right side
    602.76x = 433,859.41
  5. Step 5: Solve for x
    x = 433,859.41/602.76
  6. Step 6: Final answer
    x = 719.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.